you’re not a adult female chicken, so not a hen. ETC
You are a woman, an adult female human. That’s the definition of a woman.
by saying you don’t “identify” with womanhood, what do you mean? what’s to identify with when talking about a bodily description, like sex? Sex describes the type of body you have, nothing more nothing less. It leaves you free to have any personality, interests and preferences.
I think you mean you uphold the misogynistic stereotypes associated by the patriarchy with womanhood but place yourself outside it, “not me, ladies!”
that’s your problem. I don’t uphold these stereotypes and I am a woman.
I don’t have an identity regarding the colour of my eyes, the sex of my body, etc.
men and women can feel stereotypically feminine, masculine, neither or both, and this can fluctuate throughout their lives. They should be feel to express themselves as they want to in regards to this. It doesn’t change their sex.
and rearranging the whole of society bc some people have deemed to uphold patriarchal stereotypes and raise them to “identities” is not an acceptable demand, more it’s regressive and sexist. It affects women’s and girls privacy, safeguarding and sports
if you haven’t gotten to the extend of modifying your appearance to pass (aka deceive) as a male, then you should use the Ladies, unless you want to risk sexual assault in the men’s.
If you have, then respect women’ need to be safe and have privacy from males, they won’t know you aren’t one, and use the men’s.